Behavior of solutions of some partial differential equations from the damped type

In the first part of this thesis, studies on the existence of global, local and weak solutions to the problems examined were discussed with historical development. It is also included in a very study of continuous dependence. In the second chapter, the basic definition, identity and inequalities to be used throughout the thesis are given. In the third chapter of this thesis, the continuous dependence of the solutions of the initial and boundary values of the improved Boussinesq equation, which includes nonlinear damping terms, to the coefficients of the problem are taken as the base of the study. In the fourth chapter, the continuous dependence of solutions of the Cauchy problem on the coefficients of the problem was studied for the Rosenau equation with the term hydrodynamic damping. In the fifth chapter, the continuous dependence of the solutions of the semi-linear wave equation defined by the initial and Dirichlet boundary conditions containing non-linear dissipative coefficient were investigated.